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Finding the Fourth Proportional to 407,373.18, 610,690.41 and 220,165.98

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Solution

The fourth proportional to 407,373.18, 610,690.41 and 220,165.98 is: 330,049.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,373.18 : 610,690.41 = 220,165.98 : x
  2. Step 2: Convert to fraction form
    407,373.18/610,690.41 = 220,165.98/x
  3. Step 3: Cross multiply
    407,373.18x = 610,690.41 × 220,165.98
  4. Step 4: Simplify right side
    407,373.18x = 134,453,252,594.25
  5. Step 5: Solve for x
    x = 134,453,252,594.25/407,373.18
  6. Step 6: Final answer
    x = 330,049.35

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.